Japan JSPS Program: Quantum Integrability and Strong-Weak Coupling Quality of the Affine Toda Field Theories

Bornovel 9703595 该奖项支持日本科学促进协会（JSPS）在日本京都汤川理论物理研究所为Andrew J. Bordham博士提供为期12个月的博士后奖学金。 Bordham博士将与Ryu Sasaki教授合作开展一项名为“仿射-户田场论的量子可积性和强弱耦合对偶性”的研究项目。" 拟议的研究将研究量子场论中涉及的等效性，该理论显示基本粒子之间强相互作用的特征，但同时表明弱相互作用。 这种等价性有助于理解如何计算强耦合理论中的物理量，例如描述核力的理论。 拟议的研究将检查一个特定类别的理论命名为“仿射户田场”，其基本原理是，他们被假设为不仅表现出强弱耦合等效，但也假设允许计算所有的物理量没有任何初始近似方法。 在过去，物理量仅在弱耦合的理论中计算，然后仅使用近似方法。 这种可解性导致了S-矩阵的假设形式，S-矩阵是一个描述任意数量的粒子由于耦合而散射的概念。 这项研究将为不同的量子场论实际上是同一理论的不同表述提供一个有价值的测试，这一发现最终可能为如何从夸克的基本理论预测核子的性质提供一个解决方案。 ***

Bordner 9703595 This award supports a 12 month Japan Society for the Promotion of Science (JSPS) Postdoctoral Fellowship for Dr. Andrew J. Bordner at the Yukawa Institute for Theoretical Physics, Kyoto, Japan. Dr. Bordner will work with Dr. Ryu Sasaki, professor, on a research project entitled, "Quantum Integrability and Strong-Weak Coupling Duality of the Affine- Toda Field Theories." The proposed research will examine the equivalence involved in a quantum field theory that displays characteristics of strong interactions between fundamental particles, yet, at the same time, indicates weak mutual interactions. This equivalence would be useful in understanding how to calculate physical quantities in a strongly coupled theory, such as that describing nuclear forces. The proposed research will examine a particular class of theories designated "Affine-Toda field", the rationale being that they are hypothesized to exhibit not only strong-weak coupling equivalence, but are also hypothesized to allow the calculation of all physical quantities without any initial approximation methods. In the past, physical quantities have been calculated only in theories with a weak coupling, and then only using approximation methods. This solvability has led to a postulated form for the S-matrix, a concept that describes the scattering of an arbitrary number of particles as a result of coupling. The research will provide a valuable test of how different quantum field theories are in fact different formulations of the same theory, a finding that may eventually provide a solution for how to predict properties of nucleons from a fundamental theory of quarks. ***